Chaquille can run 3 miles in 22.5 minutes. The direct variation equation y=7.5x gives the relationship between y, the number of minutes Chaquille spends running, and x, the number of miles he runs. What is the constant of proportionality? What does it represent?
A. the constant of proportionality is 7.5. Chaquille runs 7.5 miles per hour
B. the constant of proportionality is 7.5. Chaquille runs each mile in 7.5 minutes
C. the constant of proportionality is 22.5. This is how many minutes Chaquille spends running each day
D. the constant of proportionality is 3. This is how many miles Chaquille can run per day
B. the constant of proportionality is 7.5. Chaquille runs each mile in 7.5 minutes
Write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph.
A. 3 = 600x
B. y = 600 * 3
C. y = 600/3
D. 600 = 3x
A. 3 = 600x
A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks?
A. 630 to 700 hours
B. 126 to 140 hours
C. 882 to 980 hours
D. 2.5 to 2.9 hours
Jamal earns $125,000 a year as a systems analyst. He wants to know how much he will earn if he continues at the same rate of pay for 7 years. Which equation will help him find this amount?
A. 125,000 = 7x
B. y = 125,000 * 7
C. x = 125,000/7
D. 125,000 = 7/x
B. y = 125,000 * 7
To find the number of hours a tiger will sleep in 7 weeks, we need to multiply the number of hours a tiger sleeps in a day by the number of days in 7 weeks.
The range of hours a tiger sleeps in a day is 18 to 20 hours.
So, the total range of hours a tiger will sleep in 7 weeks is (18 hours/day) * (7 days/week) * (7 weeks) to (20 hours/day) * (7 days/week) * (7 weeks).
Calculating this range, we get the answer:
A. 630 to 700 hours